What are the years in the history when Gregorian calendar September 18 and lunar calendar August 20th fall on the same day?

Historically, the following Gregorian calendar dates and lunar calendar dates are the same day:

Gregorian calendar1September 856 18 and

March 20 of the lunar calendar;

Gregorian calendar1September 894 18 and

August 20th, Wu Jia Lunar New Year;

Gregorian calendar1September 905 18 and

August 20 of the second year of the lunar calendar;

Gregorian calendar1September 924 18 and

August 20th of the year of Jiazi in the lunar calendar;

Gregorian calendar1September 962 18 and

The twentieth day of the eighth lunar month.

There are also upcoming September 19, 20 18 and August 20 of the Chinese new year.

September 18 and August 20, 2038, the fifth day of the first lunar month;

Gregorian calendar September 2057 18 and

August 20th of the year of Ding Chou in the lunar calendar.

Usually, this coincidence occurs once every 19 years or multiples of 19 years. But there are exceptions For example, the interval between 1894 and 1905 is not a multiple of 19.